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Finding the Fourth Proportional to 326,589.84, 489,927 and 225,199.44

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Solution

The fourth proportional to 326,589.84, 489,927 and 225,199.44 is: 337,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,589.84 : 489,927 = 225,199.44 : x
  2. Step 2: Convert to fraction form
    326,589.84/489,927 = 225,199.44/x
  3. Step 3: Cross multiply
    326,589.84x = 489,927 × 225,199.44
  4. Step 4: Simplify right side
    326,589.84x = 110,331,286,040.88
  5. Step 5: Solve for x
    x = 110,331,286,040.88/326,589.84
  6. Step 6: Final answer
    x = 337,828.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.